Fuzzy T-neighbourhood spaces: Part 2-T-neighbourhood systems

Khaled A. hashem; Nehad N. Morsi

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Fuzzy T-neighbourhood spaces: Part 2-T-neighbourhood systems

机译：模糊的T邻域空间：第2部分-T邻域系统

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We explore a notion of fuzzy T-enighbourhood spaces, for any continuous triangular norm T, and we present on this notion a unified treatment. Our theory, on one hand, generalizes the theory of Lowen (Fuzzy Sets and Systems 7 (1982) 65) from T=Min to arbitrary T, which has been the progenitor of this work, and on the other hand it is strongly related to the theory of L-neighbourhoods of Hohle (Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, Kluwer Academic Publishers, Dordrecht, 1999) (when L is restricted tot he lattice [0.1]).

机译：对于任何连续的三角形范数T，我们探索模糊T邻域空间的概念，并在此概念上给出统一的处理方法。我们的理论一方面将Lowen的理论（Fuzzy Sets and Systems 7（1982）65）从T = Min推广到任意T，这是这项工作的源头，另一方面，它与Hohle的L邻域理论（模糊集的数学：逻辑，拓扑和测度理论，Kluwer Academic Publishers，Dordrecht，1999年）（当L限于晶格[0.1]时）。

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《Fuzzy sets and systems》 |2002年第3期|p.265-280|共16页
作者
Khaled A. hashem; Nehad N. Morsi;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
Fuzzy topology; Fuzzy uniformity; Fuzzy proximity; Triangular norm;

机译：模糊拓扑;模糊均匀性;模糊接近度三角范数;

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专利

1. Fuzzy T-neighbourhood spaces. Part 3: T-separation axioms [J] . Khaled A. Hashem, Nehad N. Morsi Fuzzy sets and systems . 2003,第3期

机译：模糊的T邻域空间。第3部分：T分离公理
2. Fuzzy T-neighbourhood spaces: Part 1-T-proximities [J] . Khaled A. Hashem, Nehad N. Morsi Fuzzy sets and systems . 2002,第3期

机译：模糊的T邻域空间：第1部分-T邻近
3. T-syntopogenous structures compatible with fuzzy T-uniformities and fuzzy T-neighbourhoods structures [J] . Nehad N. Morsi, Khaled A. Hashem Fuzzy sets and systems . 2014,第sepa16期

机译：与模糊T均匀性和模糊T邻域结构兼容的T同生结构
4. On Categorical Relationship among Various Fuzzy Topological Systems, Fuzzy Topological Spaces and Related Algebraic Structures [C] . Purbita Jana, Mihir K. Chakraborty Asian Logic Conference . 2015

机译：关于各种模糊拓扑系统，模糊拓扑空间和相关代数结构的分类关系
5. Cell-state-space-based fuzzy logic controller automatic design and optimization for high-order systems. [D] . Song, Feijun. 1999

机译：基于细胞状态空间的模糊逻辑控制器对高阶系统的自动设计和优化。
6. On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces [O] . Manuel De la Sen, Mujahid Abbas, Naeem Saleem -1

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7. Theoretical Progress from “Inseparable Fuzzy Sets” towards “Fluffy Fuzzy Systems”: Findings through the quest for the essence of natural systems and encounter with Leibnizian notions of space and time [O] . Osamu KATAI 2009

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Fuzzy T-neighbourhood spaces: Part 2-T-neighbourhood systems

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